%0 Journal Article
%T Non
%A Pravajyoti Patra
%A SP Harsha
%A V Huzur Saran
%J Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi
%@ 2041-3068
%D 2019
%R 10.1177/1464419318762678
%X The dynamic behaviour of cylindrical roller bearings is presented, in both balanced and unbalanced conditions as a function of speed. The stiffness and damping non-linearities at the contact points (due to Hertzian contact force between rollers and races), radial internal clearance and unbalanced rotor force make the bearing system non-linear. Presently, the differential equations representing the dynamics of the cylindrical roller bearings have been obtained using Lagrange¡¯s equation and solved numerically using modified Newmark-¦Â method. The results of the analyses of various motion behaviours are presented as time¨Cdisplacement responses, orbit plots, phase portraits, Poincar¨¦ maps and Fast Fourier Transform plots. The obtained responses revealed the sensitive behaviour of the system from periodic to quasi-periodic and chaotic with speed variations for both balanced and unbalanced rotor conditions. Also, intermittent chaotic behaviour has been observed. A pattern of the interaction between rotational and variable compliance vibration is observed with speed variations. The frequency pattern analysis (with different techniques used like phase/orbit plots and Poincar¨¦ plots) for healthy cylindrical bearing and different rotor conditions under different applied non-linearity consideration is a new attempt to analyse dynamic behaviour of the bearing. This analysis is helpful for online monitoring of fault-free cylindrical roller bearings and for studying the impact of speed on system¡¯s dynamical behaviour
%K Balance and unbalance rotor
%K modified Newmark- ¦Â method
%K variable compliance vibration
%K rotor frequency
%K radial internal clearance
%U https://journals.sagepub.com/doi/full/10.1177/1464419318762678